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Dividing With Unit Fractions

Contrast the two meanings of division involving a unit fraction.

Teaching notes for parents and teachers

How to teach it

Model a whole number divided into fraction-sized groups. Then model a unit fraction shared among a whole number of people.

Example to work through together

Use the model below as you explain the example. Have your student point to the quantities as you discuss them.

2 ÷ 1/4 = 8 because two wholes contain eight quarters. In contrast, 1/2 ÷ 3 = 1/6 because half a whole is split into three equal shares.

Ask your student

Are we counting pieces of a given size or finding the size of each share?

If your student needs help

If the student uses the same model for both, label the known group count or group size explicitly.

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